Giant injection-locking bandwidth of a self-pulsing limit-cycle in an optomechanical cavity

Abstract Locking of oscillators to ultra-stable external sources is paramount importance for improving close-to-carrier phase noise in free running oscillators. In most them, such as Micro-Electro-Mechanical-Systems or LC circuit-based oscillators, the locking frequency range limited by robustness their natural frequency, which comes explicitly related with intrinsic parameters system. this work we report synchronization an optically-driven self-pulsing limit-cycle taking place a silicon optomechanical crystal cavity harmonic signal that modulates driving laser. Because extreme ductility (several tens MHz), injection-locking mechanism highly efficient and displays giant relative bandwidths exceeding 60%. The modulation reveals itself knob explore dynamical attractors are otherwise elusive and, particular, means initialize mechanical resonator into state self-sustained oscillations driven radiation pressure forces. Moreover, exploit large anharmonicity studied induce integer multiples fractions reference, can be used conversion purposes nano-electro-opto-mechanical systems.